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13044768 = 2531121123
BaseRepresentation
bin110001110000…
…110000100000
3220112202001120
4301300300200
511314413033
61143332240
7215610252
oct61606040
926482046
1013044768
1173aa800
124451080
1329196c9
141a37cd2
15122a1b3
hexc70c20

13044768 has 72 divisors (see below), whose sum is σ = 37671984. Its totient is φ = 3949440.

The previous prime is 13044767. The next prime is 13044791. The reversal of 13044768 is 86744031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13044767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11055 + ... + 12177.

It is an arithmetic number, because the mean of its divisors is an integer number (523222).

Almost surely, 213044768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835992).

13044768 is an abundant number, since it is smaller than the sum of its proper divisors (24627216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13044768 is a wasteful number, since it uses less digits than its factorization.

13044768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 13044768 is about 3611.7541444567. The cubic root of 13044768 is about 235.4030686414.

Adding to 13044768 its reverse (86744031), we get a palindrome (99788799).

The spelling of 13044768 in words is "thirteen million, forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1123 1452 1936 2246 2904 3369 3872 4492 5808 6738 8984 11616 12353 13476 17968 24706 26952 35936 37059 49412 53904 74118 98824 107808 135883 148236 197648 271766 296472 395296 407649 543532 592944 815298 1087064 1185888 1630596 2174128 3261192 4348256 6522384 13044768